簡約 31.4^2210^{-2}

解

簡約

31. 4^{2} \cdot 2 \cdot 1 0^{- 2}

19.7192

解答ステップ

31. 4^{2} \cdot 2 \cdot 1 0^{- 2}

31. 4^{2} = 985.96

= 985.96 \cdot 2 \cdot 1 0^{- 2}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 2} = \frac{1}{1 0 ^{2}}

= 985.96 \cdot 2 \cdot \frac{1}{1 0 ^{2}}

1 0^{2} = 100

= 985.96 \cdot 2 \cdot \frac{1}{100}

数を乗じる:

985.96 \cdot 2 = 1971.92

= 1971.92 \cdot \frac{1}{100}

= \frac{1}{100} \cdot 1971.92

\frac{1}{100} \cdot 1971.92 = \frac{1971.92}{100}

= \frac{1971.92}{100}

数を割る:

\frac{1971.92}{100} = 19.7192

= 19.7192